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  3. let f be a field and f is a fixed algebric closure

Let F be a field and F is a fixed algebric closure of F. Suppose...

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Algebra

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Let F be a field and F is a fixed algebric closure of F. Suppose E? F is an arbitrary extension field of F and K is a finite Galois extension of F (called "normal extension" in the textbook). (a) Show that the joint K VE is a finite Galois extension over E. (b) Show that the restriction map Gal(KVE/E) ? Gal(K/EnF) defined by ook is an isomorphism.

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